用太极和丽莎探测引力量子场论的横向标量模式
Testing the Transverse Scalar Mode of Gravitational Quantum Field Theory with Taiji and LISA
AI总结：
研究利用太极和丽莎探测引力量子场论的横向标量模式，采用零响应通道抑制其他极化贡献，通过动态轨道模型模拟星座，计算响应函数等并与标准通道比较，证明该通道可作为测试非广义相对论极化的可靠工具。
AI中文摘要：
包括丽莎和太极在内的天基引力波探测器，为探索引力替代理论可能偏离广义相对论的领域提供了前所未有的途径。引力量子场论提供了一个新框架，其中标准模型中魏尔型费米子的庞加莱型非齐次自旋对称性提升为规范对称性。在此框架下，基本引力场被识别为一个引力规范场，其表现为戈德斯通型双协变矢量场。与广义相对论不同，引力量子场论预测了额外的极化状态：一个横向标量（呼吸）模式和两个矢量模式。在这项工作中，我们专注于横向各向同性标量模式，并研究其能否被太极探测到。为了分离这个模式，我们采用零响应通道，这是一种特殊的干涉组合，旨在抑制其他极化的贡献。我们实现了一个分析性的动态轨道模型，以实际模拟三角星座。我们计算了各种干涉通道的响应函数和灵敏度曲线，并将它们与标准迈克尔逊通道进行比较，证明了零响应通道方法的有效性。我们的结果表明，零响应通道为测试非广义相对论极化提供了一个可靠的、与波形无关的标准，我们预计它将成为未来天基引力波任务中探测引力理论的宝贵工具。
英文摘要：
Space-based gravitational-wave (GW) detectors, including LISA and Taiji, offer unprecedented access to regimes where alternative theories of gravity may deviate from General Relativity (GR). Gravitational Quantum Field Theory (GQFT) provides a novel framework in which the Poincaré-type inhomogeneous spin symmetry of Weyl-type fermions in the Standard Model is elevated to a gauge symmetry. Within this construction, the fundamental gravitational field is identified with a gravigauge field which behaves as a Goldstone-type bi-covariant vector field. Unlike GR, GQFT predicts additional polarization states: one transverse scalar (breathing) mode and two vector modes. In this work, we focus on the transverse, isotropic scalar mode and investigate its detectability with Taiji. To isolate this mode, we employ the null-response channel (NRC), a specific interferometric combination designed to suppress contributions from other polarizations. We implement an analytical, dynamic orbital model to realistically simulate a triangular constellation. We compute the response functions and sensitivity curves for various interferometric channels, compare them with the standard Michelson channel, and demonstrate the effectiveness of the NRC approach. Our results show that the NRC provides a reliable, waveform-independent criterion for testing non-GR polarizations, and we anticipate that it will serve as a valuable tool for probing gravitational theories in future space-based GW missions.
